225314122151300 has 216 divisors, whose sum is σ = 605349090928512. Its totient is φ = 71275127040000.

The previous prime is 225314122151291. The next prime is 225314122151329. The reversal of 225314122151300 is 3151221413522.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 255205625 + ... + 256086975.

It is an arithmetic number, because the mean of its divisors is an integer number (2802542087632).

Almost surely, 2^{225314122151300} is an apocalyptic number.

225314122151300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225314122151300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302674545464256).

225314122151300 is an abundant number, since it is smaller than the sum of its proper divisors (380034968777212).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225314122151300 is a wasteful number, since it uses less digits than its factorization.

225314122151300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883559 (or 883539 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

Adding to 225314122151300 its reverse (3151221413522), we get a palindrome (228465343564822).

The spelling of 225314122151300 in words is "two hundred twenty-five trillion, three hundred fourteen billion, one hundred twenty-two million, one hundred fifty-one thousand, three hundred".